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1011120012 = 223274012381
BaseRepresentation
bin111100010001000…
…111011110001100
32121110121012220100
4330101013132030
54032321320022
6244155451100
734025243520
oct7421073614
92543535810
101011120012
11479829481
12242756a90
13131631786
1498403d80
155db7b1ac
hex3c44778c

1011120012 has 36 divisors (see below), whose sum is σ = 2921014096. Its totient is φ = 288891360.

The previous prime is 1011119987. The next prime is 1011120013. The reversal of 1011120012 is 2100211101.

It is a happy number.

1011120012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011119976 and 1011120003.

It is not an unprimeable number, because it can be changed into a prime (1011120013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2005939 + ... + 2006442.

Almost surely, 21011120012 is an apocalyptic number.

1011120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011120012 is an abundant number, since it is smaller than the sum of its proper divisors (1909894084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011120012 is a wasteful number, since it uses less digits than its factorization.

1011120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012398 (or 4012393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1011120012 is about 31798.1133402597. The cubic root of 1011120012 is about 1003.6930155142.

Adding to 1011120012 its reverse (2100211101), we get a palindrome (3111331113).

The spelling of 1011120012 in words is "one billion, eleven million, one hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 4012381 8024762 12037143 16049524 24074286 28086667 36111429 48148572 56173334 72222858 84260001 112346668 144445716 168520002 252780003 337040004 505560006 1011120012